squares of prime numbers
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Squares of prime numbers are the only numbers with three factors, since there must be only one nontrivial divisor for a number to have three factors. That number must thus be prime.
there are only 2 factors because 3 is a prime number: the factors are 1 and 3
If a number has three factors, it's a perfect square. One of those three factors (apart from 1 and the number itself) would be the square root.
Any square of a prime number. For example, 5*5 = 25 has the factors 1, 5, 25. If you square any other prime number, call it "p", the factors of the result are 1, p, p square.
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.